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Parent Functions Describing Graphing Transformations Transformations Review SAT Practice 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt Write the equation of the parent function that is known as a parabola 2 What is = ? Write the equation of the parent function that is known as a the greatest integer function What is () = ? Sketch the graph of = Sketch the graph = 3 Sketch the graph = 2 3 Describe the transformation from the parent function 2 = −4 What is reflection about the x-axis, vertical expansion factor 4, horizontal compression factor 2? Describe the transformation from the parent function = 3 1 − 8 What is reflection about the y-axis, vertical 1 compression factor , 2 horizontal expansion 1 factor ? 8 Describe the transformation from the parent function = − − What is rotation 180° about the origin? Describe the transformation from the parent function = −2 + 3 − 1 What is translated 3 units left, vertical expansion factor 2, horizontal compression factor 2 reflection about the x-axis, translated down 1 unit? Describe the transformation from the parent function 1 =2 −7 5 What is horizontal 1 expansion factor , vertical 5 expansion factor 2, translated down 7 units? Graph and describe the transformation from the 3 parent graph ℎ = − Reflection about the y-axis Graph and describe the transformation from the parent graph ℎ = − + 4 + 1 Translated left 4 units, then reflected over the y-axis, translated up 1 unit. Graph and describe the transformation from the parent function 2 ℎ = −6 Translated 6 down units, all points with a negative y-value are reflected over the x-axis. Graph and describe the transformation from the parent graph 1 ℎ =2 −1 4 Horizontal expansion 1 factor , vertical expansion 4 factor 2, translated down one unit Graph and describe the transformation from the parent graph ℎ = 2 + 1 − 1 Translated left one unit, then horizontal compression with factor 2, translated down one unit, all points with a negative y-value are reflected over the x-axis. Even, odd or neither? 5 3 + x = 2 3 + 1 What is odd? Is the graph symmetric to the x-axis, y-axis, origin, y=x, y=-x or neither? + = 30 What is all? State the domain in interval notation +8 = 2 + 144 What is −∞, ∞ ? State the domain in interval notation +8 = 2 9 − 64 8 −∞, − 3 What is 8 8 ∪ − , ∪ 3 3 8 ,∞ 3 ? State the domain in interval notation +8 = 3 8− What is −2,2 ? In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course? A. 6 B. 15 C. 24 D. 33 E. 54 What is C? A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long? A. 48 B. 32 C. 24 D. 18 E. 12 What is A? The BHS golf team has five team shirts. If the team members need to take two shirts to a tournament, in how many ways can they select them? What is 10? The track team’s sprinters are competing to determine who will travel to the region competition. The 1st, 2nd, and 3rd place runners will attend the meet. If there are 11 sprinters, how many outcomes will there be? What is 990? The BHS soccer coach needs two players to go to the gym to get ice. If there are 15 players on the team, how many ways can he ask the team members to do this? What is 105?